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Finding the Fourth Proportional to 614.65, 848.91 and 476.44

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Solution

The fourth proportional to 614.65, 848.91 and 476.44 is: 658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.65 : 848.91 = 476.44 : x
  2. Step 2: Convert to fraction form
    614.65/848.91 = 476.44/x
  3. Step 3: Cross multiply
    614.65x = 848.91 × 476.44
  4. Step 4: Simplify right side
    614.65x = 404,450.18
  5. Step 5: Solve for x
    x = 404,450.18/614.65
  6. Step 6: Final answer
    x = 658.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.